Search Results for author: Bernadette J. Stolz

Found 4 papers, 3 papers with code

Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis

1 code implementation2 Jan 2021 John T. Nardini, Bernadette J. Stolz, Kevin B. Flores, Heather A. Harrington, Helen M. Byrne

Here we simulate the Anderson-Chaplain model of angiogenesis at different parameter values and quantify the vessel architectures of the resulting synthetic data.

Topological Data Analysis

Multiscale Topology Characterises Dynamic Tumour Vascular Networks

1 code implementation19 Aug 2020 Bernadette J. Stolz, Jakob Kaeppler, Bostjan Markelc, Franziska Mech, Florian Lipsmeier, Ruth J. Muschel, Helen M. Byrne, Heather A. Harrington

Advances in imaging techniques enable high resolution 3D visualisation of vascular networks over time and reveal abnormal structural features such as twists and loops, and their quantification is an active area of research.

Topological Data Analysis

Geometric anomaly detection in data

1 code implementation25 Aug 2019 Bernadette J. Stolz, Jared Tanner, Heather A. Harrington, Vidit Nanda

This paper describes the systematic application of local topological methods for detecting interfaces and related anomalies in complicated high-dimensional data.

Algebraic Topology Algebraic Geometry 57N80

Topological Data Analysis of Task-Based fMRI Data from Experiments on Schizophrenia

no code implementations22 Sep 2018 Bernadette J. Stolz, Tegan Emerson, Satu Nahkuri, Mason A. Porter, Heather A. Harrington

With these tools, which allow one to characterize topological invariants such as loops in high-dimensional data, we are able to gain understanding into low-dimensional structures in networks in a way that complements traditional approaches that are based on pairwise interactions.

Community Detection Time Series +1

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